Group decision making with incomplete intuitionistic multiplicative preference relations

Zhang, Zhiming; Chen, Shyi‐Ming; Wang, Chao

doi:10.1016/j.ins.2019.12.042

Cited by 48 publications

(49 citation statements)

References 48 publications

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“…h F (x) indicates the possible degrees to the set X of x, m F (x) indicates the possible NMDs to the set X of x. In addition, IFPRs Wu et al [26], Jin et al [27], Chen and Xu [30] Intuitionistic linguistic PRs Meng et al [25] Intuitionistic multiplicative PRs Zhang [31] 2-tuple linguistic PRs Wu et al [28] Probabilistic hesitant fuzzy PRs Li and Wang [24], Jin et al [29], Zhou et al [33] Probabilistic linguistic PRs Liang et al [22], Gao et al [35] Dual hesitant fuzzy PRs Zhao et al [43] PDHFPRs Shao and Zhang [37] . .…”

Section: Preliminariesmentioning

confidence: 99%

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A new group decision making approach based on incomplete probabilistic dual hesitant fuzzy preference relations

Song

Jin

et al. 2021

Complex Intell. Syst.

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As an enhanced version of probabilistic hesitant fuzzy sets and dual hesitant fuzzy sets, probabilistic dual hesitant fuzzy sets (PDHFSs) combine probabilistic information with the membership degree and non-membership degree, which can describe decision making information more reasonably and comprehensively. Based on PDHFSs, this paper investigates the approach to group decision making (GDM) based on incomplete probabilistic dual hesitant fuzzy preference relations (PDHFPRs). First, the definitions of order consistency and multiplicative consistency of PDHFPRs are given. Then, for the problem that decision makers (DMs) cannot provide the reasonable associated probabilities of probabilistic dual hesitant fuzzy elements (PDHFEs), the calculation method of the associated probability is given by using an optimal programming model. Furthermore, the consistency level for PDHFPRs is tested according to the weighted consistency index defined by the risk attitude of DMs. In addition, a convergent iterative algorithm is proposed to enhance the unacceptable consistent PDHFPRs’ consistency level. Finally, a GDM approach with incomplete PDHFPRs is established to obtain the ranking of the alternatives. The availability and rationality of the proposed decision making approach are demonstrated by analyzing the impact factors of haze weather.

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Section: Preliminariesmentioning

confidence: 99%

“…The lack of consistency of PR may lead to unreasonable results. To date, the research on the consistency of PR has been fruitful [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. However, only Shao and Zhang [37] have focused on the consistency of PDHFPRs.…”

Section: Introductionmentioning

confidence: 99%

A new group decision making approach based on incomplete probabilistic dual hesitant fuzzy preference relations

Song

Jin

et al. 2021

Complex Intell. Syst.

View full text Add to dashboard Cite

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“…It is an extension of the crisp set, where elements have a membership value in the interval [0,1]. Fuzzy sets and fuzzy logic have potential applications in wide-ranging fields, including mathematics, computer science, engineering, statistics, artificial intelligence, decision-making, image analysis, and pattern recognition (Liu et al 2020;Zeng et al 2019;Zhang et al 2020;Zou et al 2020;Meng et al 2020). Atanassov (1983) extended the fuzzy set to a set that gives membership and non-membership grades for each element.…”

Section: Introductionmentioning

confidence: 99%

An approach to decision-making via picture fuzzy soft graphs

2021

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Fuzzy soft graphs are effective mathematical tools that are used to model the vagueness of the real world. A fuzzy soft graph is a fusion of the fuzzy soft set and the graph model and is widely used across different fields. In this current research, the concept of picture fuzzy soft graphs is presented by combining the theory of picture soft sets with graphs. The introduction of this new picture fuzzy soft graphs is an emerging concept that can be rather developed into various graph theoretical concepts. Since soft sets are most usable in real-life applications, the newly combined concepts of the picture and fuzzy soft sets will lead to many possible applications in the fuzzy set theoretical area by adding extra fuzziness in analyzing. The notions of picture soft graphs, strong and complete picture soft fuzzy graphs, a few types of product picture fuzzy soft graphs, and regular, totally regular picture fuzzy soft graphs are discussed and validated using real-world scenarios. In addition, an application of decision-making for medical diagnosis in the current COVID scenario using the picture fuzzy soft graph has been illustrated.

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“…Mamata [36] estimated initial values for all missing entries based on incomplete interval-valued intuitionistic multiplicative preference relation. Zhang and Chen [37] studied decision-making with incomplete intuitionistic multiplicative preference relations. A reasonable consistency of incomplete intuitionistic multiplicative preference relation was introduced.…”

Section: Introductionmentioning

confidence: 99%

Double Integral-Based Method for Ranking Intuitionistic Multiplicative Sets and Its Application in Selecting Logistics Transfer Station

Tian

Lin

2021

Mathematical Problems in Engineering

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Intuitionistic multiplicative sets can be applied in many practical situations, most of which are based on ranking of intuitionistic multiplicative numbers. This study develops an integral method for ranking intuitionistic multiplicative numbers based on the new definitions of multiplicative score function and accuracy function. The ranking method considers both the risk preference and infinitely many possible values in feasible region. Some reasonable properties of multiplicative score function and accuracy function are studied, respectively. We construct a total order relation on the set of intuitionistic multiplicative numbers. The multiplicative score function and accuracy function are utilized to select the optimal logistics transfer station. A comparison example is developed to highlight the advantage of the risk preference-based ranking method.

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Group decision making with incomplete intuitionistic multiplicative preference relations

Cited by 48 publications

References 48 publications

A new group decision making approach based on incomplete probabilistic dual hesitant fuzzy preference relations

A new group decision making approach based on incomplete probabilistic dual hesitant fuzzy preference relations

An approach to decision-making via picture fuzzy soft graphs

Double Integral-Based Method for Ranking Intuitionistic Multiplicative Sets and Its Application in Selecting Logistics Transfer Station

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